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Finding the Fourth Proportional to 260.30, 358.77 and 185.62

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Solution

The fourth proportional to 260.30, 358.77 and 185.62 is: 255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.30 : 358.77 = 185.62 : x
  2. Step 2: Convert to fraction form
    260.30/358.77 = 185.62/x
  3. Step 3: Cross multiply
    260.30x = 358.77 × 185.62
  4. Step 4: Simplify right side
    260.30x = 66,593.09
  5. Step 5: Solve for x
    x = 66,593.09/260.30
  6. Step 6: Final answer
    x = 255.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.